Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3

Question

Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3

in progress 0
Ella 3 weeks 2022-01-02T21:07:56+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-02T21:09:33+00:00

    Answer:

    The slope intercept equation of the line is:

     y = (9/8)x – (3/8)

    Step-by-step explanation:

    They give us 2 parametric equations to arrive at y = mx + b (Slope intersection equation)

    1. X = 8t + 3

    2. Y = 9t + 3

    We first convert in terms of t to compare both equations:

    1. x = 8t + 3

    x – 3 = 8t

    t = (x – 3) / 8

    Same for the following:

    3. y = 9t + 3

    y – 3 = 9t

    t = (y – 3) / 9

    Now equating by comparing both equations, we will find y:

    (x – 3) / 8 = (y – 3) / 9

    9x -27 = 8y -24

    9x – 3 = 8y

    – Clearing and comparing both parameters gives us:

     y = (9/8)x – 3/8

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )